MATHEMATICS HIGH SCHOOL

A plan has scale 1:22. what is the actual length, in cm, represented by 101 cm ?

Answers

Answer 1
Answer: The ratio of the scale of the plan to the actual length is 1:22.

This means that every 1 cm on the plan represents 22 cm for the actual length.

Therefore, to find the actual length of 101 cm on the plan, we just have to multiply 101 * 22.  This equals 2222 cm.

Therefore, the actual length is 2222 cm.

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Answers

Hmh this seem like a tough one let me see get back with u when i find the answer

Suppose you could climb to the top of the great pyramid. Which route would be shorter, a route along a lateral edge or a route along the slant height of a side? Which of these routes is steeper? Explain your answers.

Answers

Consider a regular pyramid. A pyramid has slant height, altitude, base, and a lateral edge. The lateral edge is always greater than the slant height. Therefore, if you climb to the top of the Great Pyramid, the route that is shorter is a route along the slant height of a side. 

When their report cards came back, Pete, Chris, and Dina realized that the number of A's they each received was in the ratio 4:2:5. If Pete got 14 more A's than Chris, how many A's did Dina get?

Answers

Answer:

The number of A's Dina got = 5/11 × 77 = 385/11 = 35

Step-by-step explanation:

The number of A's Pete , Chris and Dina received are in the ratio of 4:2:5.

Let the total number of A's = y

Total from ratio = 4 + 2 + 5 = 11

chris A's = 2/11 × y  

pete's A's = 2/11 × y + 14 = 4/11 × y

pete's A's

2/11 y + 14 = 4/11 y

14 = 4/11 (y) - 2/11 (y)

14 = 2/11 (y)

cross multiply

2y = 14 × 11

divide both sides by 2

y = 154/2

y = 77

Total number of A's = 77

The number of A's Dina got = 5/11 × 77 = 385/11 = 35

Answer:

35

Step-by-step explanation:

What are the first 100 numbers of pi

Answers

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Answer: the first 4 thousand digits of pi are

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682065310989652691862056476931257058635662018558100729360659876486117910453348850346113657686753249441668039626579787718556084552965412665408530614344431858676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797270826683063432858785698305235808933065757406795457163775254202114955761581400250126228594130216471550979259230990796547376125517656751357517829666454779174501129961489030463994713296210734043751895735961458901938971311179042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043063321751829798662237172159160771669254748738986654949450114654062843366393790039769265672146385306736096571209180763832716641627488880078692560290228472104031721186082041900042296617119637792133757511495950156604963186294726547364252308177036751590673502350728

What is the simplified form of the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3?

Answers

it is going to be an negative x

One term of (x+y)^m is 31,824x^18y^11
What is the value of m ?

Answers

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of (x+y)^m is 31,824x^(18)y^(11)  ...(i)

We know that that (r+1)th term in (a+b)^n is given by :-

T_(r+1)=^nC_ra^(n-r)b^r  ...(ii)

On comparing (i) with (ii) , we get

a= x \text{ and } b= y \nn-r =18 \text{ and } r=11\nn=m

i.e.

m-r=18\Rightarow\ m-11=18\n\n\Rightarrow\ m=18+11=29

Hence, the value of m is 29.
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